Lesson Objective

Students will apply previously learned calculus concepts (derivatives, integrals, arc length, surface area) to parametric curves.

- What is different about parametric equations for which we need to adjust our calculus formulas?

(no new terminology)

(applying calculus concepts to parametric equations)

- Apply calculus concepts to parametric equations

- calculating and analyzing projectile motion and circular motion
- determine the exact motion of robotic arms for welding, painting, or assembly
- describe the movement of satellites or celestial bodies
- reconstruction of 3D images from 2D data in MRI and CT scans

Understanding how the parameter affects the calculus formulas can be tricky for students at first.

Homogeneous grouping and whole-class discussion

section assessment

problems assigned from book